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2341322220420 = 22325291579284059
BaseRepresentation
bin100010000100100001101…
…011011110001110000100
322021211100202211011122100
4202010201223132032010
5301330011442023140
64551331044432100
7331104101336301
oct42044153361604
98254322734570
102341322220420
11822a4939a977
123199200a8630
1313ca2a360481
148146ba260a8
1540d832a2530
hex22121ade384

2341322220420 has 144 divisors (see below), whose sum is σ = 7351586424000. Its totient is φ = 602439296256.

The previous prime is 2341322220353. The next prime is 2341322220431. The reversal of 2341322220420 is 240222231432.

2341322220420 is a `hidden beast` number, since 2 + 3 + 4 + 13 + 2 + 2 + 220 + 420 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8100351 + ... + 8384409.

It is an arithmetic number, because the mean of its divisors is an integer number (51052683500).

Almost surely, 22341322220420 is an apocalyptic number.

2341322220420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2341322220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675793212000).

2341322220420 is an abundant number, since it is smaller than the sum of its proper divisors (5010264203580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2341322220420 is a wasteful number, since it uses less digits than its factorization.

2341322220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285682 (or 285677 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2341322220420 its reverse (240222231432), we get a palindrome (2581544451852).

The spelling of 2341322220420 in words is "two trillion, three hundred forty-one billion, three hundred twenty-two million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1579 1740 2610 3158 4737 5220 6316 7895 9474 14211 15790 18948 23685 28422 31580 45791 47370 56844 71055 91582 94740 137373 142110 183164 228955 274746 284059 284220 412119 457910 549492 568118 686865 824238 852177 915820 1136236 1373730 1420295 1648476 1704354 2060595 2556531 2747460 2840590 3408708 4121190 4260885 5113062 5681180 8237711 8242380 8521770 10226124 12782655 16475422 17043540 24713133 25565310 32950844 41188555 49426266 51130620 74139399 82377110 98852532 123565665 148278798 164754220 247131330 296557596 370696995 448529161 494262660 741393990 897058322 1345587483 1482787980 1794116644 2242645805 2691174966 4036762449 4485291610 5382349932 6727937415 8073524898 8970583220 13007345669 13455874830 16147049796 20183812245 26014691338 26911749660 39022037007 40367624490 52029382676 65036728345 78044074014 80735248980 117066111021 130073456690 156088148028 195110185035 234132222042 260146913380 390220370070 468264444084 585330555105 780440740140 1170661110210 2341322220420